30869
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = T(2*n, n+2), T given by A027011.at n=6A027013
- Partial sums of A027964.at n=11A053298
- First term of weak prime sextet: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3) < p(m+5)-p(m+4).at n=10A054828
- Smaller of twin primes whose middle term is a multiple of A002110(4)=210.at n=24A060230
- Primes p such that 7 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248).at n=21A080186
- a(n) = 70*n^2 - 1.at n=20A158736
- The lesser of twin primes p such that p*q+a+b+c are also the lesser of twin primes, (p and q are twin primes, p+2=q, a=p-1,b=(p+q)/2,c=q+1).at n=25A168536
- a(1) = 13, a(n) is smallest prime of the form k*a(n-1) + 1.at n=5A214523
- Primes q = 4*p+1, where p == 2 (mod 5) is also prime.at n=50A221981
- Expansion of Product_{k>=0} 1/(1-x^(5*k+1))^(5*k+1).at n=42A285049
- a(n)/A163403(n) = the total length of the lines drawn at generation n for Conant's dissection of a square with size 1.at n=16A337780
- Primes in A073837.at n=46A341632
- Primes in A073837.at n=47A341632
- Primes in A073837.at n=48A341632
- Primes p such that (q*s-p*r)/2 and |p*s-q*r|/2 are both prime, where p,q,r,s are consecutive primes.at n=35A341802
- Number of integer partitions of n whose run-sums are not weakly increasing.at n=39A357865
- Expansion of (1/x) * Series_Reversion( x*(1-x)^4/(1-x-x^3) ).at n=6A366085
- Primes that are the sum of all primes in an interval [k,2*k] for some k>=1.at n=27A389113
- Prime numbersat n=3329